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Generalises current behavioural equivalences (bisimulation and weak variants, simulation, and trace equivalence) to states in different LTSs, rather than assuming that the states being compared are in the same LTS. The convenience of homogeneous relations is retained via abbreviations (e.g., `HomBisimilarity`) and backwards-compatible notation. The aim of this PR is to facilitate proving the correctness of compilers, where states usually are in different languages.
Co-authored-by: Chris Henson <chrishenson.net@gmail.com>
…#466) Add the implementation of `DecidableEq` for `FinFun`
[This commit](leanprover-community/mathlib4@ed4fde1#diff-54ef6c59abdddf67950b1ee785a0c22c7e03d04f9ad8cdb7cf1d336a72f4d850) in mathlib4 moves `foldl_eq_foldr` to another module, so we need to import it or the build fails with ```lean error: Cslib/Computability/URM/Basic.lean:178:27: Unknown constant `List.foldl_eq_foldr` ``` This PR updates the lake manifest past this commit with `lake update mathlib` and fixes the issue
Co-authored-by: mathlib4-bot <github-mathlib4-bot@leanprover.zulipchat.com> Co-authored-by: leanprover-community-mathlib4-bot <129911861+leanprover-community-mathlib4-bot@users.noreply.github.com> Co-authored-by: Kim Morrison <kim@tqft.net> Co-authored-by: leanprover-community-mathlib4-bot <leanprover-community-mathlib4-bot@users.noreply.github.com> Co-authored-by: Chris Henson <chrishenson.net@gmail.com> Co-authored-by: Chris Henson <46805207+chenson2018@users.noreply.github.com> Co-authored-by: Kim Morrison <477956+kim-em@users.noreply.github.com> Co-authored-by: Ching-Tsun Chou <chingtsun.chou@gmail.com> Co-authored-by: Alexandre Rademaker <arademaker@gmail.com> Co-authored-by: mathlib-nightly-testing[bot] <mathlib-nightly-testing[bot]@users.noreply.github.com> Co-authored-by: mathlib-nightly-testing[bot] <258991302+mathlib-nightly-testing[bot]@users.noreply.github.com>
This PR defines propositions for propositional logic, including notation for the logical connectives. A `Theory` is a set of `Proposition`. Also defines minimal, intuitionistic and classical theories, and extensions of maps `Atom → Atom'` to maps `Proposition Atom → Proposition Atom'` and `Theory Atom → Theory Atom'`. --------- Co-authored-by: twwar <tom.waring@unimelb.edu.au>
This PR resolves leanprover#387. --------- Co-authored-by: Chris Henson <chrishenson.net@gmail.com> Co-authored-by: Chris Henson <46805207+chenson2018@users.noreply.github.com>
This PR updates the weekly linting job to use the full `linter.weeklyLintSet` and the same reporting script as Mathlib for consistency. The manifest update is intentional to bring in new linting added in leanprover-community/mathlib4#37916.
This fixes some statements that were type incorrect; their LHS was `Id X` and their RHS `X`. The latter can be cast to the former with `pure`.
…eanprover#464) Adds `Cslib.Cryptography.PerfectSecrecy` with information-theoretic private-key encryption schemes and perfect secrecy following Katz-Lindell, Chapter 2: - `EncScheme`: private-key encryption (Definition 2.1) - `PerfectlySecret`: perfect secrecy (Definition 2.3) - `perfectlySecret_iff_ciphertextIndist`: ciphertext indistinguishability characterization (Lemma 2.5) - `otp`: the one-time pad construction (Construction 2.9) - `otp_perfectlySecret`: the OTP is perfectly secret (Theorem 2.10) - `perfectlySecret_keySpace_ge`: Shannon's theorem, |K| ≥ |M| (Theorem 2.12) For some context, Katz reviewed this in its original home: SamuelSchlesinger/introduction-to-modern-cryptography#1.
Co-authored-by: Chris Henson <chrishenson.net@gmail.com>
Co-authored-by: Chris Henson <46805207+chenson2018@users.noreply.github.com>
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