In this changelog, we document "large-ish" changes to Iris that affect even the
way the logic is used on paper. We also mention some significant changes in the
Coq development, but not every API-breaking change is listed. Changes marked
[#]
still need to be ported to the Iris Documentation LaTeX file(s).
Changes in and extensions of the theory:
- [#] Change in the definition of WP, so that there is a fancy update between the quantification over the next states and the later modality. This makes it possible to prove more powerful lifting lemmas: The new versions feature an "update that takes a step".
- [#] Weaken the semantics of CAS in heap_lang to be efficiently implementable: CAS may only be used to compare "unboxed" values that can be represented in a single machine word.
- [#] Add weakest preconditions for total program correctness.
- [#] "(Potentially) stuck" weakest preconditions are no longer considered experimental.
- [#] The Löb rule is now a derived rule; it follows from later-intro, later being contractive and the fact that we can take fixpoints of contractive functions.
- [#] Add atomic updates and logically atomic triples, including tactic support.
See
heap_lang/lib/increment.v
for an example.
Changes in Coq:
- An all-new generalized proof mode that abstracts away from Iris! See
http://iris-project.org/mosel/ for the corresponding paper. Major new
features:
-
The proof mode can now be used with logics derived from Iris (like iGPS), with non-step-indexed logics and even with non-affine (i.e., linear) logics.
-
iModIntro
is more flexible and more powerful, it now also subsumesiNext
andiAlways
. -
General infrastructure for deriving a logic for monotone predicates over an existing logic (see the paper for more details).
Developments instantiating the proof mode typeclasses may need significant changes. For developments just using the proof mode tactics, porting should not be too much effort. Notable things to port are:
-
All the BI laws moved from the
uPred
module to thebi
module. For example,uPred.later_equivI
becamebi.later_equivI
. -
Big-ops are automatically imported, imports of
iris.base_logic.big_op
have to be removed. -
The ⊢ notation can sometimes infer different (but convertible) terms when seraching for the BI to use, which (due to Coq limitations) can lead to failing rewrites, in particular when rewriting at function types.
-
- The
iInv
tactic can now be used without the second argument (the name for the closing update). It will then instead add the obligation to close the invariant to the goal. - Added support for defining derived connectives involving n-ary binders using telescopes.
- The proof mode now more consistently "prettifies" the goal after each tactic. Prettification also simplifies some BI connectives, like conditional modalities and telescope quantifiers.
- Improved pretty-printing of Iris connectives (in particular WP and fancy updates) when Coq has to line-wrap the output. This goes hand-in-hand with an improved test suite that also tests pretty-printing.
- Added a
gmultiset
RA. - Rename
timelessP
->timeless
(projection of theTimeless
class) - The CMRA axiom
cmra_extend
is now stated inType
, usingsigT
instead of inProp
usingexists
. This makes it possible to define the function space CMRA even for an infinite domain. - Rename proof mode type classes for laters:
IntoLaterN
→MaybeIntoLaterN
(this one may strip a later)IntoLaterN'
→IntoLaterN
(this one should strip a later)IntoLaterNEnv
→MaybeIntoLaterNEnv
IntoLaterNEnvs
→MaybeIntoLaterNEnvs
- Rename:
frag_auth_op
→frac_auth_frag_op
cmra_opM_assoc
→cmra_op_opM_assoc
cmra_opM_assoc_L
→cmra_op_opM_assoc_L
cmra_opM_assoc'
→cmra_opM_opM_assoc
namespaces
has been moved to std++.- Changed
IntoVal
to be directly usable for rewritinge
intoof_val v
, and changedAsVal
to be usable for rewriting via the[v <-]
destruct pattern.
Changes in and extensions of the theory:
- Define
uPred
as a quotient on monotone predicatesM -> SProp
. - Get rid of some primitive laws; they can be derived:
True ⊢ □ True
and□ (P ∧ Q) ⊢ □ (P ∗ Q)
- Camera morphisms have to be homomorphisms, not just monotone functions.
- Add a proof that
f
has a fixed point iff^k
is contractive. - Constructions for least and greatest fixed points over monotone predicates (defined in the logic of Iris using impredicative quantification).
- Add a proof of the inverse of
wp_bind
. - [Experimental feature] Add new modality: ■ ("plainly").
- [Experimental feature] Support verifying code that might get stuck by
distinguishing "non-stuck" vs. "(potentially) stuck" weakest
preconditions. (See [Swasey et al., OOPSLA '17] for examples.) The non-stuck
WP e @ E {{ Φ }}
ensures that, ase
runs, it does not get stuck. The stuckWP e @ E ?{{ Φ }}
ensures that, as usual, all invariants are preserved whilee
runs, but it permits execution to get stuck. The former implies the latter. The full judgment isWP e @ s; E {{ Φ }}
, where non-stuck WP uses stuckness bits = NotStuck
while stuck WP usess = MaybeStuck
.
Changes in Coq:
- Move the
prelude
folder to its own project: coq-std++ - Some extensions/improvements of heap_lang:
- Improve handling of pure (non-state-dependent) reductions.
- Add fetch-and-add (
FAA
) operation. - Add syntax for all Coq's binary operations on
Z
.
- Generalize
saved_prop
to let the user choose the location of the type-level later. Rename the general form tosaved_anything
. Providesaved_prop
andsaved_pred
as special cases. - Improved big operators:
- They are no longer tied to cameras, but work on any monoid
- The version of big operations over lists was redefined so that it enjoys more definitional equalities.
- Rename some things and change notation:
- The unit of a camera:
empty
->unit
,∅
->ε
- Disjointness:
⊥
->##
- A proof mode type class
IntoOp
->IsOp
- OFEs with all elements being discrete:
Discrete
->OfeDiscrete
- OFE elements whose equality is discrete:
Timeless
->Discrete
- Timeless propositions:
TimelessP
->Timeless
- Camera elements such that
core x = x
:Persistent
->CoreId
- Persistent propositions:
PersistentP
->Persistent
- The persistent modality:
always
->persistently
- Adequacy for non-stuck weakestpre:
adequate_safe
->adequate_not_stuck
- Consistently SnakeCase identifiers:
CMRAMixin
->CmraMixin
CMRAT
->CmraT
CMRATotal
->CmraTotal
CMRAMorphism
->CmraMorphism
CMRADiscrete
->CmraDiscrete
UCMRAMixin
->UcmraMixin
UCMRAT
->UcmraT
DRAMixin
->DraMixin
DRAT
->DraT
STS
->Sts
- Many lemmas also changed their name.
always_*
becamepersistently_*
, and furthermore: (the following list is not complete)impl_wand
->impl_wand_1
(it only involves one direction of the equivalent)always_impl_wand
->impl_wand
always_and_sep_l
->and_sep_l
always_and_sep_r
->and_sep_r
always_sep_dup
->sep_dup
wand_impl_always
->impl_wand_persistently
(additionally, the direction of this equivalence got swapped for consistency's sake)always_wand_impl
->persistently_impl_wand
(additionally, the direction of this equivalence got swapped for consistency's sake) The followingsed
snippet should get you most of the way:
- The unit of a camera:
sed 's/\bPersistentP\b/Persistent/g; s/\bTimelessP\b/Timeless/g; s/\bCMRADiscrete\b/CmraDiscrete/g; s/\bCMRAT\b/CmraT/g; s/\bCMRAMixin\b/CmraMixin/g; s/\bUCMRAT\b/UcmraT/g; s/\bUCMRAMixin\b/UcmraMixin/g; s/\bSTS\b/Sts/g' -i $(find -name "*.v")
PersistentL
andTimelessL
(persistence and timelessness of lists of propositions) are replaces byTCForall
from std++.- Fix a bunch of consistency issues in the proof mode, and make it overall more
usable. In particular:
- All proof mode tactics start the proof mode if necessary;
iStartProof
is no longer needed and should only be used for building custom proof mode tactics. - Change in the grammar of specialization patterns:
>[...]
->[> ...]
- Various new specification patterns for
done
and framing. - There is common machinery for symbolic execution of pure reductions. This
is provided by the type classes
PureExec
andIntoVal
. - There is a new connective
tc_opaque
, which can be used to make definitions opaque for type classes, and thus opaque for most tactics of the proof mode. - Define Many missing type class instances for distributing connectives.
- Implement the tactics
iIntros (?)
andiIntros "!#"
(i.e.iAlways
) using type classes. This makes them more generic, e.g.,iIntros (?)
also works when the universal quantifier is below a modality, andiAlways
also works for the plainness modality. A breaking change, however, is that these tactics now no longer work when the universal quantifier or modality is behind a type class opaque definition. Furthermore, this can change the name of anonymous identifiers introduced with the "%" pattern.
- All proof mode tactics start the proof mode if necessary;
- Make
ofe_fun
dependently typed, subsumingiprod
. The latter got removed. - Define the generic
fill
operation of theectxi_language
construct in terms of a left fold instead of a right fold. This gives rise to more definitional equalities. - The language hierarchy (
language
,ectx_language
,ectxi_language
) is now fully formalized using canonical structures instead of using a mixture of type classes and canonical structures. Also, it now uses explicit mixins. The fileprogram_logic/ectxi_language
contains some documentation on how to setup Iris for your language. - Restore the original, stronger notion of atomicity alongside the weaker
notion. These are
Atomic a e
where the stuckness bits
indicates whether expressione
is weakly (a = WeaklyAtomic
) or strongly (a = StronglyAtomic
) atomic. - Various improvements to
solve_ndisj
. - Use
Hint Mode
to prevent Coq from making arbitrary guesses in the presence of evars, which often led to divergence. There are a few places where type annotations are now needed. - The rules
internal_eq_rewrite
andinternal_eq_rewrite_contractive
are now stated in the logic, i.e., they areiApply
-friendly.
- There now is a deprecation process. The modules
*.deprecated
contain deprecated notations and definitions that are provided for backwards compatibility and will be removed in a future version of Iris. - View shifts are radically simplified to just internalize frame-preserving updates. Weakestpre is defined inside the logic, and invariants and view shifts with masks are also coded up inside Iris. Adequacy of weakestpre is proven in the logic. The old ownership of the entire physical state is replaced by a user-selected predicate over physical state that is maintained by weakestpre.
- Use OFEs instead of COFEs everywhere. COFEs are only used for solving the
recursive domain equation. As a consequence, CMRAs no longer need a proof of
completeness. (The old
cofeT
is provided byalgebra.deprecated
.) - Implement a new agreement construction. Unlike the old one, this one preserves discreteness. dec_agree is thus no longer needed and has been moved to algebra.deprecated.
- Renaming and moving things around: uPred and the rest of the base logic are in
base_logic
, whileprogram_logic
is for everything involving the general Iris notion of a language. - Renaming in prelude.list: Rename
prefix_of
->prefix
andsuffix_of
->suffix
in lemma names, but keep notationl1 `prefix_of` l2
andl1 `suffix_of` l2
.l1 `sublist` l2
becomesl1 `sublist_of` l2
. Renamecontains
->submseteq
and changel1 `contains` l2
tol1 ⊆+ l2
. - Slightly weaker notion of atomicity: an expression is atomic if it reduces in one step to something that does not reduce further.
- Changed notation for embedding Coq assertions into Iris. The new notation is
⌜φ⌝. Also removed
=
and⊥
from the Iris scope. (The old notations are provided inbase_logic.deprecated
.) - Up-closure of namespaces is now a notation (↑) instead of a coercion.
- With invariants and the physical state being handled in the logic, there is no longer any reason to demand the CMRA unit to be discrete.
- The language can now fork off multiple threads at once.
- Local Updates (for the authoritative monoid) are now a 4-way relation with syntax-directed lemmas proving them.
- [heap_lang] No longer use dependent types for expressions. Instead, values carry a proof of closedness. Substitution, closedness and value-ness proofs are performed by computation after reflecting into a term langauge that knows about values and closed expressions.
- [program_logic/language] The language does not define its own "atomic" predicate. Instead, atomicity is defined as reducing in one step to a value.
- [program_logic] Due to a lack of maintenance and usefulness, lifting lemmas for Hoare triples are removed.
This version matches the final ICFP 2016 paper.
- [algebra] Make the core of an RA or CMRA a partial function.
- [program_logic/lifting] Lifting lemmas no longer round-trip through a user-chosen predicate to define the configurations we can reduce to; they directly relate to the operational semantics. This is equivalent and much simpler to read.
This is the Coq development and Iris Documentation as submitted to ICFP 2016.