Fifty years ago, Dana Scott introduced domain theory for the purposes of denotational semantics of programming languages when he was in Oxford, where he worked with Christopher Strachey. This work has had a vast and lasting impact on logic, computer science, and mathematics. As part of the Workshop DOMAINS’2018, which will take place in Oxford on 7–8 July 2018, we will celebrate 50 years of domain theory and Dana Scott’s 85th birthday. We will also commemorate Klaus Keimel, the founder of the workshop series.

The event is affiliated with the Federated Logic Conference 2018.

#### Invited speakers

- Dana Scott (Carnegie Mellon University) (Slides 1) (Slides 2)
- Samson Abramsky (Oxford) (Slides)
- Ulrich Berger (Swansea) (Slides)
- Stephen Brookes (Carnegie Mellon University) (Slides)
- Ohad Kammar (Oxford) (Slides)
- Jimmie Lawson (Lousiana State University) (Slides)

#### Special session invited speakers

For the special session on denotational semantics organized by Stephen Brookes:

- Gordon Plotkin (Edinburgh)
- Glynn Winskel (Cambridge) (Slides)

#### Programme Committee

- Andrej Bauer (Ljubljana)
- Martin Escardo (Birmingham)
- Achim Jung (Birmingham)
- Paul Levy (Birmingham)
- Mike Mislove (Tulane)
- Dag Normann (Oslo)

#### Call for extended abstracts

Please submit a short extended abstract (up to 2 pages not counting bibliography) through the DOMAINS at Easychair.

**Submission deadline: March 18th, 2018**- Notification of acceptance: April 16th, 2018

We plan a special issue in a journal for post-proceedings.

#### Registration

Please register using the FLoC 2018 registration procedure.

#### Remembering Klaus Keimel

#### Accepted papers and slides

There is also the Domains programme at the FLoC website.

- M. Andrew Moshier and Imanol Mozo Carollo:
*Frames and frame relations*(Slides) - Jean Goubault-Larrecq:
*A Daniell-Kolmogorov Theorem for Continuous Valuations* - Gabriel Ciobanu and Eneia Nicolae Todoran:
*Abstractness of Continuation Semantics for Asynchronous Concurrency*(Slides) - Chong Shen, Xiaoyong Xi, Dongsheng Zhao and Qingyu He:
*I-equivalence of posets* - Hideki Tsuiki and Arno Pauly:
*T^ω-representations of compact sets through dyadic subbases*(Slides) - Thomas Cottrell, Soichiro Fujii and John Power:
*Higher-dimensional categories: recursion on extensivity*(Slides) - Tatsuji Kawai:
*Applications of entailments: de Groot duality*(Slides) - Achim Jung, Alexander Kurz and M. Andrew Moshier:
*Extending Stone Duality to Relations*(Slides) - Paul Blain Levy and Ohad Kammar:
*Algebra semantics of recursive computation types*(Slides) - Abbas Edalat and Mehrdad Maleki:
*A logical view of complex analytic maps*(Slides) - Matthijs Vákár, Ohad Kammar and Sam Staton:
*Diffeological Spaces and Semantics for Differential Programming*(Slides) - John Longley:
*Robust computability notions for types arising in classical analysis*(Slides) - Michael Mislove:
*A Domain-theoretic Skorohod’s Theorem*(Slides) - Michael Fourman:
*A Brouwerian proof of the Fan Theorem*(Slides) - Barry Jay:
*Domain Theory for Intensional Computation*(Slides)

##### A statement about the arrest of Abbas Edalat in Iran

The Organizers and PC members of the workshop are deeply disappointed that our longtime colleague Abbas Edalat is currently under arrest in Iran and is therefore unable to attend the meeting and present a paper he and a colleague submitted for the workshop. As far as we know, no formal charges have been lodged against Professor Edalat, and no trial date has been set. We are concerned for the health and well being of our colleague. We also are mystified why a native Iranian who has devoted so much his time and energy to opening communication between the academic community in Iran and those in the west, and who founded CASMII, the campaign against sanctions and military intervention in Iran, has been imprisoned. We urge all those in positions to intervene on his behalf to make every effort to have him freed as soon as possible.

More information can be found at Abbas Edalat’s Wikipedia page and at the Communications of the ACM web page.

#### Organization

The event is organized by Andrej Bauer and Martín Escardó.

### About the DOMAINS workshop series

The applications of domain theory include programming logics (LCF), design of programming languages, models of the lambda calculus, applications to recursion theory (higher-type computability, Kleene-Kreisel countable functionals), general topology (injective spaces, function spaces, locally compact spaces, Stone duality), topological algebra (Lawson semilattices) and analysis (measure, integration, dynamical systems). Moreover, these applications are related – for example, Stone duality has given rise to a logic of observable properties of computational processes.

Topics of interaction with domain theory for this workshop include, but are not limited to: program semantics, program logics, probabilistic computation, exact computation over the real numbers, lambda calculus, games, models of sequential computation, constructive mathematics, recursion theory, realizability, real analysis and computability, topology, metric spaces and domains, idempotent analysis and domains, locale theory, category theory, topos theory, type theory.

The Domains workshop series is aimed at computer scientists and mathematicians alike who share an interest in the mathematical foundations of computation. The workshop series focuses on domains, their applications in mathematics and computer science, and related topics. Previous meetings were held in Darmstadt (1994, 1999, 2004), Braunschweig (1996), Munich (1997), Siegen (1998), Birmingham (2002), Novosibirsk (2007), Brighton (2008), Swansea (2011), Paris (2014), and Cork (2015).