[图书][B] Introduction to coalgebra

B Jacobs - 2017 - books.google.com
The area of coalgebra has emerged within theoretical computer science with a unifying
claim: to be the mathematics of computational dynamics. It combines ideas from the theory of …

Checking NFA equivalence with bisimulations up to congruence

F Bonchi, D Pous - ACM SIGPLAN Notices, 2013 - dl.acm.org
We introduce bisimulation up to congruence as a technique for proving language
equivalence of non-deterministic finite automata. Exploiting this technique, we devise an …

Generalizing determinization from automata to coalgebras

A Silva, F Bonchi, M Bonsangue… - Logical Methods in …, 2013 - lmcs.episciences.org
The powerset construction is a standard method for converting a nondeterministic
automaton into a deterministic one recognizing the same language. In this paper, we lift the …

Combining probabilistic and non-deterministic choice via weak distributive laws

A Goy, D Petrişan - Proceedings of the 35th Annual ACM/IEEE …, 2020 - dl.acm.org
Combining probabilistic choice and non-determinism is a long standing problem in
denotational semantics. From a category theory perspective, the problem stems from the …

Expressive quantale-valued logics for coalgebras: an adjunction-based approach

H Beohar, S Gurke, B König, K Messing… - arXiv preprint arXiv …, 2023 - arxiv.org
We address the task of deriving fixpoint equations from modal logics characterizing
behavioural equivalences and metrics (summarized under the term conformances). We rely …

Formalizing constructive cryptography using CryptHOL

A Lochbihler, SR Sefidgar, D Basin… - 2019 IEEE 32nd …, 2019 - ieeexplore.ieee.org
Computer-aided cryptography increases the rigour of cryptographic proofs by mechanizing
their verification. Existing tools focus mainly on game-based proofs, and efforts to formalize …

A general account of coinduction up-to

F Bonchi, D Petrişan, D Pous, J Rot - Acta Informatica, 2017 - Springer
Bisimulation up-to enhances the coinductive proof method for bisimilarity, providing efficient
proof techniques for checking properties of different kinds of systems. We prove the …

[HTML][HTML] Trace semantics via determinization

B Jacobs, A Silva, A Sokolova - Journal of Computer and System Sciences, 2015 - Elsevier
This paper takes a fresh look at the topic of trace semantics in the theory of coalgebras. In
the last few years, two approaches, somewhat incomparable at first sight, captured …

Coinduction up-to in a fibrational setting

F Bonchi, D Petrişan, D Pous, J Rot - Proceedings of the Joint Meeting of …, 2014 - dl.acm.org
Bisimulation up-to enhances the coinductive proof method for bisimilarity, providing efficient
proof techniques for checking properties of different kinds of systems. We prove the …

The power of convex algebras

F Bonchi, A Silva, A Sokolova - 28th International Conference on …, 2017 - drops.dagstuhl.de
Probabilistic automata (PA) combine probability and nondeterminism. They can be given
different semantics, like strong bisimilarity, convex bisimilarity, or (more recently) distribution …