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» Universal Algebra in Type Theory
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POPL
2012
ACM
12 years 29 days ago
Algebraic foundations for effect-dependent optimisations
We present a general theory of Gifford-style type and effect annotations, where effect annotations are sets of effects. Generality is achieved by recourse to the theory of algebra...
Ohad Kammar, Gordon D. Plotkin
ASPDAC
2005
ACM
97views Hardware» more  ASPDAC 2005»
13 years 7 months ago
Fast synthesis of exact minimal reversible circuits using group theory
- We present fast algorithms to synthesize exact minimal reversible circuits for various types of gates and costs. By reducing reversible logic synthesis problems to group theory p...
Guowu Yang, Xiaoyu Song, William N. N. Hung, Marek...
LICS
2005
IEEE
13 years 11 months ago
Proof Theory for Kleene Algebra
The universal Horn theory of relational Kleene algebra with tests (RKAT) is of practical interest, particularly for program semantics. We develop an (infinitary) proof system, ba...
Chris Hardin
SOSL
1993
13 years 9 months ago
Verifying Process Algebra Proofs in Type Theory
In this paper we study automatic veri cation of proofs in process algebra. Formulas of process algebra are represented by types in typed -calculus. Inhabitants (terms) of these ty...
M. P. A. Sellink
ENTCS
2007
132views more  ENTCS 2007»
13 years 5 months ago
The Category Theoretic Understanding of Universal Algebra: Lawvere Theories and Monads
Lawvere theories and monads have been the two main category theoretic formulations of universal algebra, Lawvere theories arising in 1963 and the connection with monads being esta...
Martin Hyland, John Power