## Paper: Towards a Mathematical Operational Semantics (at LICS 1997)

*Winner of the Test-of-Time Award in 2017***Daniele Turi Gordon D. Plotkin**

### Abstract

We present a categorical theory of `well-behaved' operational semantics which aims at complementing the established theory of domains and denotational semantics to form a coherent whole. It is shown that, if the operational rules of a programming language can be modelled as a natural transformation of a suitable general form, depending on functorial notions of syntax and behaviour, then one gets the following for free: an operational model satisfying the rules and a canonical, internally fully abstract denotational model which satisfies the operational rules. The theory is based on distributive laws and bialgebras; it specialises to the known classes of well-behaved rules for structural operational semantics, such as GSOS.

### BibTeX

@InProceedings{TuriPlotkin-TowardsaMathematica, author = {Daniele Turi and Gordon D. Plotkin}, title = {Towards a Mathematical Operational Semantics}, booktitle = {Proceedings of the Twelfth Annual IEEE Symposium on Logic in Computer Science (LICS 1997)}, year = {1997}, month = {June}, pages = {280--291}, location = {Warsaw, Poland}, publisher = {IEEE Computer Society Press} }