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CALCO
2015
Springer
15views Mathematics» more  CALCO 2015»
8 years 7 months ago
Revisiting the Institutional Approach to Herbrand's Theorem
More than a decade has passed since Herbrand’s theorem was first generalized to arbitrary institutions, enabling in this way the development of the logic-programming paradigm o...
Ionut Tutu, José Luiz Fiadeiro
CALCO
2015
Springer
17views Mathematics» more  CALCO 2015»
8 years 7 months ago
Canonical Coalgebraic Linear Time Logics
We extend earlier work on linear time fixpoint logics for coalgebras with branching, by showing how propositional operators arising from the choice of branching monad can be cano...
Corina Cîrstea
CALCO
2015
Springer
13views Mathematics» more  CALCO 2015»
8 years 7 months ago
Final Coalgebras from Corecursive Algebras
We give a technique to construct a final coalgebra in which each element is a set of formulas of modal logic. The technique works for both the finite and the countable powerset ...
Paul Blain Levy
CALCO
2015
Springer
13views Mathematics» more  CALCO 2015»
8 years 7 months ago
Partial Higher-dimensional Automata
We propose a generalization of higher-dimensional automata, partial HDA. Unlike HDA, and also extending event structures and Petri nets, partial HDA can model phenomena such as pr...
Ulrich Fahrenberg, Axel Legay
CALCO
2015
Springer
8 years 7 months ago
A First-order Logic for String Diagrams
Aleks Kissinger, David Quick
CALCO
2015
Springer
19views Mathematics» more  CALCO 2015»
8 years 7 months ago
Syntactic Monoids in a Category
The syntactic monoid of a language is generalized to the level of a symmetric monoidal closed category D. This allows for a uniform treatment of several notions of syntactic algeb...
Jirí Adámek, Stefan Milius, Henning ...
CALCO
2015
Springer
18views Mathematics» more  CALCO 2015»
8 years 7 months ago
Generic Trace Semantics and Graded Monads
Models of concurrent systems employ a wide variety of semantics inducing various notions of process equivalence, ranging from linear-time semantics such as trace equivalence to br...
Stefan Milius, Dirk Pattinson, Lutz Schröder
CALCO
2015
Springer
13views Mathematics» more  CALCO 2015»
8 years 7 months ago
Uniform Interpolation for Coalgebraic Fixpoint Logic
We use the connection between automata and logic to prove that a wide class of coalgebraic fixpoint logics enjoys uniform interpolation. To this aim, first we generalize one of ...
Johannes Marti, Fatemeh Seifan, Yde Venema
CALCO
2015
Springer
20views Mathematics» more  CALCO 2015»
8 years 7 months ago
A Recipe for State-and-Effect Triangles
In the semantics of programming languages one can view programs as state transformers, or as predicate transformers. Recently the author has introduced ‘stateand-effect’ trian...
Bart Jacobs 0001