By Samson Abramsky, Jonathan Zvesper (auth.), Dirk Pattinson, Lutz Schröder (eds.)
This e-book constitutes the completely refereed post-proceedings of the eleventh foreign Workshop on Coalgebraic equipment in machine technology, CMCS 2012, colocated with ETAPS 2012, held in Tallin, Estonia, in March/April 2012. the ten revised complete papers have been conscientiously reviewed and chosen from 23 submissions. additionally incorporated are 3 invited talks. The papers disguise quite a lot of issues within the concept, logics and functions of coalgebras.
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Extra info for Coalgebraic Methods in Computer Science: 11th International Workshop, CMCS 2012, Colocated with ETAPS 2012, Tallinn, Estonia, March 31 – April 1, 2012, Revised Selected Papers
Now apply the inductive hypothesis. 2. t = b · t with b = a. Then the number of distinct derivations t ⇒∗ w is zero, and the same holds for o(tw ). 3. t = x · t . Then the number of distinct leftmost derivations x · t ⇒∗ a · w is equal to #(v · t ⇒∗ w ) + (If x → λ then #(t ⇒∗ a · w ) else 0) v:x→av where #(t ⇒∗ w) is the number of distinct leftmost derivations of w from t (if t is a variable x taken as a starting symbol, then this is the degree of ambiguity of w [Nij80, PS09]). Also, o((x · t )(a·w ) ) = o(((x · t )a )w = o((xa · t + o(x) · ta )w ) = o(( v:x→av = v:x→av (v · t ) + o(x) · ta )w ) o((v · t )w ) + o(x) · o(ta·w ) Now apply the inductive hypothesis.
Here, change-ofbase functors u∗ always have left-adjoints and they have right-adjoints whenever u satisﬁes the weak factorisation lifting property . One consequence is that R(C) has limits that are computed pointwise. Finally, and most importantly, several familiar constructions from the literature can be characterised as adjunctions. For example, we shall show that the weak-closure of a labelled transition system is actually a left (2-)adjoint to a change-of-base functor. In this sense, this paper continues the programme of  in that category theory is used to clarify and distill constructions commonly used in the study of models of concurrency.
The tile model. In: Proof, Language and Interaction: Essays in Honour of Robin Milner, pp. 133–166. MIT Press (2000) 15. : Relational and partial variable sets and basic predicate logic. J. Symbolic Logic 61(3), 843–872 (1996) 16. : Generic trace semantics via coinduction. Log. Meth. Comput. Sci. 3(4) (2007) 17. : Simulations in coalgebras. Theor. Comput. Sci. 327(1-2), 71–108 (2004) 18. : Trace semantics for coalgebras. In: Coalgebraic Methods in Computer Science, CMCS 2004. ENTCS, vol. 106, pp.
Coalgebraic Methods in Computer Science: 11th International Workshop, CMCS 2012, Colocated with ETAPS 2012, Tallinn, Estonia, March 31 – April 1, 2012, Revised Selected Papers by Samson Abramsky, Jonathan Zvesper (auth.), Dirk Pattinson, Lutz Schröder (eds.)