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===Linear logic programming=== Basing logic programming within [[linear logic]] has resulted in the design of logic programming languages that are considerably more expressive than those based on classical logic. Horn clause programs can only represent state change by the change in arguments to predicates. In linear logic programming, one can use the ambient linear logic to support state change. Some early designs of logic programming languages based on linear logic include LO,<ref>{{cite journal|first=Jean-Marc|last=Andreoli|doi=10.1093/logcom/2.3.297|title=Logic Programming with Focusing Proofs in Linear Logic|journal=[[Journal of Logic and Computation]]|date=1 June 1992|volume=2|issue=3|pages=297β347}}</ref> Lolli,<ref>{{cite journal|first1=Joshua|last1=Hodas|first2=Dale|last2=Miller|url=http://repository.upenn.edu/cgi/viewcontent.cgi?article=1540&context=cis_reports|title=Logic Programming in a Fragment of Intuitionistic Linear Logic|journal=[[Information and Computation]]|date=1994|volume=110|issue=2|pages=327β365|doi=10.1006/inco.1994.1036 |doi-access=free}}</ref> ACL,<ref>{{cite conference|first1=Naoki|last1=Kobayashi|first2= Akinori|last2=Yonezawa|author-link2=Akinori Yonezawa|title=Asynchronous communication model based on linear logic|conference=US/Japan Workshop on Parallel Symbolic Computing|date=1994|pages=279β294|citeseerx=10.1.1.42.8749 }}</ref> and Forum.<ref>{{cite journal|first=Dale|last=Miller|title=Forum: A Multiple-Conclusion Specification Logic|journal=[[Theoretical Computer Science (journal)|Theoretical Computer Science]]|date=30 September 1996|volume=165|issue=1|pages=201β232|doi=10.1016/0304-3975(96)00045-X|doi-access=free}}</ref> Forum provides a goal-directed interpretation of all linear logic.
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