distributedcomponents / infseqext

A Coq library for reasoning (co)inductively on infinite sequences using LTL-like modal operators

InfSeqExt

Coq library for reasoning inductively and coinductively on infinite sequences, using modal operators similar to those in linear temporal logic (LTL).

Meta

• Author(s):
  • Yuxin Deng (initial)
  • Jean-Francois Monin (initial)
  • Karl Palmskog
  • Ryan Doenges
• Compatible Coq versions: 8.9 or later
• Additional dependencies: none
• Coq namespace: InfSeqExt
• Related publication(s): none

Building and installation instructions

The easiest way to install InfSeqExt is via OPAM:

opam repo add coq-extra-dev https://coq.inria.fr/opam/extra-dev
opam install coq-inf-seq-ext

To instead build and install manually, do:

git clone https://github.com/DistributedComponents/InfSeqExt.git
cd InfSeqExt
make   # or make -j <number-of-cores-on-your-machine>
make install

Documentation

InfSeqExt is based on an earlier library by Deng and Monin. It is intended as a more comprehensive alternative to Streams in the Coq standard library. In particular, InfSeqExt provides machinery commonly used when reasoning about temporal properties of system execution traces, and follows the modal operator name conventions used in the Spin model checker.

Files

• infseq.v: main definitions and results
  • coinductive definition of infinite sequences
  • definitions and notations for modal operators and connectors
    • basic modal operators: now, next, consecutive, always1, always, weak_until, until, release, eventually
    • composite modal operators: inf_often, continuously
    • modal connectors: impl_tl (->_), and_tl (/\_), or_tl (\/_), not_tl (~_)
  • lemmas about modal operators and connectors
  • tactics
• map.v: corecursive definitions of the map and zip functions for use on infinite sequences, and related lemmas
• exteq.v: coinductive definition of extensional equality (exteq) for infinite sequences, and related lemmas
• subseq.v: coinductive definitions of infinite subsequences and related lemmas
• classical.v: lemmas about modal operators and connectors when assuming classical logic (excluded middle)

Related libraries

InfSeqExt has some overlap with the less exhaustive CTLTCTL and LTL Coq contributions, which provide similar machinery. In contrast to CTLTCTL and LTL, InfSeqExt does not provide a definition of traces following some labeled reduction relation, nor an explicit notion of time. Fairness is also left up to library users to define.

infseqext's Issues

Address deprecation of positive coinductive types

Adapt according to coq/coq#7536.

Install and commit for coq 8.12, InfSeqExt

I tried:

git clone [email protected]:DistributedComponents/InfSeqExt.git deps/InfSeqExt
(cd deps/InfSeqExt && git checkout 91b2d9bdc580c7ccb5bf2f50fffb6ebabab2715c && git rev-parse HEAD)
(cd deps/InfSeqExt && opam install -y .)

but seems fishy, is this the recommended way to install it for coq 8.12?

output:

(iit_synthesis) brando9~/proverbot9001 $ (cd deps/InfSeqExt && opam install -y .)
[WARNING] Failed checks on coq-inf-seq-ext package definition from source at
          git+file:///afs/cs.stanford.edu/u/brando9/proverbot9001/deps/InfSeqExt#HEAD:
  warning 62: License doesn't adhere to the SPDX standard, see https://spdx.org/licenses/: "Unknown"
[NOTE] Package coq-inf-seq-ext is currently pinned to git+file:///afs/cs.stanford.edu/u/brando9/proverbot9001/deps/InfSeqExt#master (version dev).
coq-inf-seq-ext is now pinned to git+file:///afs/cs.stanford.edu/u/brando9/proverbot9001/deps/InfSeqExt#HEAD (version dev)
[coq-inf-seq-ext.dev] synchronised (git+file:///afs/cs.stanford.edu/u/brando9/proverbot9001/deps/InfSeqExt#HEAD)
[WARNING] Failed checks in opam file from upstream of coq-inf-seq-ext:
  warning 62: License doesn't adhere to the SPDX standard, see https://spdx.org/licenses/: "Unknown"
The following actions will be performed:
  ↻ recompile coq-inf-seq-ext dev*

<><> Processing actions <><><><><><><><><><><><><><><><><><><><><><><><><><><><>
Processing  2/4: [coq-inf-seq-ext: dune build]
⊘ removed   coq-inf-seq-ext.dev
∗ installed coq-inf-seq-ext.dev
Done.

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note one soln could be to push different version as you are developing to opam repo and not overwrite them.

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related: UCSD-PL/proverbot9001#91