Size-based termination: Semantics and generalizations

To illustrate the kind of systems we consider, we give an extensive example in the new Dedukti syntax combining type-level rewriting rules (El converts datatype codes into

The main difficulty is to define an interpretation for types and type symbols that can be defined by rewrite rules. It requires to use induction-recursion [6]. Note that the

Thus, we obtain a modular criterion extending Arts and Giesl’s theorem that a rewriting relation terminates if there are no infinite chains [2] from first-order rewriting

It relies on a notion of size of values and a static analysis interpreting a recursive program as a control-flow graph with information about how the size of arguments evolves

Users access the data by means of queries formulated using the vocabulary of the ontology; query answering amounts to computing the certain answers of the query over the union

So, a truth-conditional model theoretic theory needs types – or something similar – to fix truth conditions and construct linguistic meaning if shifts

We showed the finiteness of two different natural semantics of MALL 2 – an observational quotient of the syntax, and the historical model of coherence spaces and normal functors –

Using early tumor size response to predict long-term clinical outcome, such as overall survival, may shorten the time needed to evaluate the effectiveness of treatments [ ]. A